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Simplifying 3(7x + 4y) + -2(2x + y) = 0 (7x * 3 + 4y * 3) + -2(2x + y) = 0 (21x + 12y) + -2(2x + y) = 0 21x + 12y + (2x * -2 + y * -2) = 0 21x + 12y + (-4x + -2y) = 0 Reorder the terms: 21x + -4x + 12y + -2y = 0 Combine like terms: 21x + -4x = 17x 17x + 12y + -2y = 0 Combine like terms: 12y + -2y = 10y 17x + 10y = 0 Solving 17x + 10y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10y' to each side of the equation. 17x + 10y + -10y = 0 + -10y Combine like terms: 10y + -10y = 0 17x + 0 = 0 + -10y 17x = 0 + -10y Remove the zero: 17x = -10y Divide each side by '17'. x = -0.5882352941y Simplifying x = -0.5882352941y
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